A nonsmooth theory for a logarithmic elliptic equation with singular nonlinearity

DOI10.1007/s10473-022-0205-xOpenAlexW4210784249MaRDI QIDQ2156732

Chang-Mu Chu, Chun-Yu Lei, Hong-Min Suo, Jia-Feng Liao

Publication date: 20 July 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-022-0205-x

zbMATH Keywords

positive solutionsvariational methodsingular nonlinearitylogarithmic elliptic equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Positive solutions to PDEs (35B09) Singular elliptic equations (35J75)

Cites Work

• Unnamed Item
• Combined effects of singular and critical nonlinearities in elliptic problems
• A Dirichlet problem with singular and supercritical nonlinearities
• Solutions for singular \(p\)-Laplacian equation in \(R^{n}\)
• Multiple solutions to logarithmic Schrödinger equations with periodic potential
• An exact estimate result for a class of singular equations with critical exponents
• Critical point theory for nonsmooth functionals
• Brezis-Nirenberg type theorems and multiplicity of positive solutions for a singular elliptic problem
• Classical and weak solutions of a singular semilinear elliptic problem
• Structure of ground state solutions of singular semilinear elliptic equations.
• Entire solutions of singular elliptic equations
• Multiplicity and asymptotic behavior of positive solutions for a singular semilinear elliptic problem.
• Ground state solution for a fourth-order nonlinear elliptic problem with logarithmic nonlinearity
• Ground state solution for a fourth-order elliptic equation with logarithmic nonlinearity modeling epitaxial growth
• Multiple solutions for the semilinear elliptic equations with the sign-changing logarithmic nonlinearity
• Existence and regularity to an elliptic equation with logarithmic nonlinearity
• Ground state sign-changing solutions for elliptic equations with logarithmic nonlinearity
• Existence of multiple positive solutions for singular elliptic problems with concave and convex nonlinearities
• Multiplicity of solutions for a Dirichlet problem with a strongly singular nonlinearity
• Existence of two positive solutions for a class of semilinear elliptic equations with singularity and critical exponent
• On a singular nonlinear dirichlet problem
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• On a Singular Nonlinear Elliptic Boundary-Value Problem
• Logarithmic Sobolev Inequalities
• On a dirichlet problem with a singular nonlinearity
• Regularity of an elliptic problem with a singular nonlinearity
• Ground state sign-changing solutions for Kirchhoff equations with logarithmic nonlinearity
• Some existence results for an elliptic equation of Kirchhoff‐type with changing sign data and a logarithmic nonlinearity
• Multiple solutions for logarithmic Schrödinger equations
• Combined effects of singular and superlinear nonlinearities in some singular boundary value problems.
• A logarithmic Schrödinger equation with asymptotic conditions on the potential

This page was built for publication: A nonsmooth theory for a logarithmic elliptic equation with singular nonlinearity